What is the Least Common Multiple of 94145 and 94155?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 94145 and 94155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94145 and 94155, than apply into the LCM equation.

GCF(94145,94155) = 5
LCM(94145,94155) = ( 94145 × 94155) / 5
LCM(94145,94155) = 8864222475 / 5
LCM(94145,94155) = 1772844495

Least Common Multiple (LCM) of 94145 and 94155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94145 and 94155. First we will calculate the prime factors of 94145 and 94155.

Prime Factorization of 94145

Prime Factorization of 94155

Now multiplying the highest exponent prime factors to calculate the LCM of 94145 and 94155.

LCM(94145,94155) = 5¹ × 19¹ × 991¹ × 3¹ × 6277¹
LCM(94145,94155) = 1772844495